Question

How do you solve 5(√x)−x=6?

Answer 1

let

$\sqrt{x} = t$

given equation becomes

$5t - {t}^{2} = 6$

${t}^{2} - 5t + 6 = 0$

(t-2)(t-3)=0

t=2or t= 3

$\sqrt{x} = 2 \: or \: 3$

x=4 or 9